23/127 added to 128/2 in Fraction Form

The result of 23/127 added to 128/2 is: 64 23/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23127 and 1282.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 2 is 254.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23127 to 46254
Convert 1282 to 16256254

Step 4: Add the Numerators

Add the numerators: 46 + 16256 = 16302

Step 5: Simplify the Fraction

We can simplify 16302254 to its lowest form.
The greatest common divisor (GCD) of 16302 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 8151127.

Step 6: Convert to Mixed Number

The fraction 8151127 can be written as the mixed number 6423127.

Final Answer

The result of 23/127 added to 128/2 is:

23127+1282=6423127

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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